465412865280 has 288 divisors, whose sum is σ = 1623265394688. Its totient is φ = 112707379200.

The previous prime is 465412865279. The next prime is 465412865317. The reversal of 465412865280 is 82568214564.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43544097 + ... + 43554783.

It is an arithmetic number, because the mean of its divisors is an integer number (5636338176).

Almost surely, 2^465412865280 is an apocalyptic number.

465412865280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465412865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811632697344).

465412865280 is an abundant number, since it is smaller than the sum of its proper divisors (1157852529408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465412865280 is a wasteful number, since it uses less digits than its factorization.

465412865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11753 (or 11739 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 465412865280 in words is "four hundred sixty-five billion, four hundred twelve million, eight hundred sixty-five thousand, two hundred eighty".